Mixed Topic Worksheet Grades 1/2/3: Day 031
- 1
Question 1. Tom says, "A cone and a pyramid are the same type of solid because they both come to a point at the top."
Write down one difference between a cone and a pyramid.Identifying 3D Shapes▶ Show worked answerHide worked answer
- B1: a cone has a circular base or a curved surface
- B1: a pyramid has only flat faces and a base with straight sides
Answer: A cone has a curved surface and a circular base; a pyramid has flat faces and a base with straight sides[2 marks] - 2
Question 2. A charity raises £8736. The money is shared equally between 7 hospitals. Use the bus stop method to work out how much each hospital gets, in pounds.
Bus Stop Method with Large Numbers▶ Show worked answerHide worked answer
- M1: 7 outside the bus stop, quotient digits 1, 2, 4, 8 with each remainder carried to the next digit
- A1: 1248
Answer: 1248[2 marks] - 3
Question 3. The diagram shows two straight lines that cross.
(a) Write down the size of angle a. [1]
(b) Work out the size of angle b. [1]Opposite Angles▶ Show worked answerHide worked answer
- (a) B1: 58^° (opposite angles are equal)
- (b) B1: 122^° (180 - 58)
Answer: (a) 58^°; (b) 122^°[2 marks] - 4
Question 4. A straight line crosses the lines AB and CD.
Two of the angles formed are between AB and CD and on the same side of the crossing line.
The two angles are 124^° and 56^°.
Is AB parallel to CD?
Explain your answer.Co-Interior Angles▶ Show worked answerHide worked answer
- B1: Yes
- B1: 124 + 56 = 180, and co-interior angles add up to 180° when the lines are parallel, so AB is parallel to CD
Answer: Yes, 124 + 56 = 180, so the co-interior angles add up to 180° and the lines are parallel[2 marks] - 5
Question 5. Dee writes: 5³ = 5 × 3 = 15
Describe her mistake and work out the correct value of 5³.Square, Cube & Prime Numbers▶ Show worked answerHide worked answer
- M1: 5 × 5 × 5
- A1: 125, with the mistake described
Answer: She multiplied 5 by 3 instead of multiplying three 5s. 5³ = 125.[2 marks]
Mixed Topic Worksheet Grades 1/2/3: Day 031
- 1
Question 1. Tom says, "A cone and a pyramid are the same type of solid because they both come to a point at the top."
[2 marks]
Write down one difference between a cone and a pyramid.Identifying 3D Shapes▶ Show worked answerHide worked answer
- B1: a cone has a circular base or a curved surface
- B1: a pyramid has only flat faces and a base with straight sides
Answer: A cone has a curved surface and a circular base; a pyramid has flat faces and a base with straight sides - 2
Question 2. A charity raises £8736. The money is shared equally between 7 hospitals. Use the bus stop method to work out how much each hospital gets, in pounds.
[2 marks]Bus Stop Method with Large Numbers▶ Show worked answerHide worked answer
- M1: 7 outside the bus stop, quotient digits 1, 2, 4, 8 with each remainder carried to the next digit
- A1: 1248
Answer: 1248 - 3
Question 3. The diagram shows two straight lines that cross.
[2 marks]
(a) Write down the size of angle a. [1]
(b) Work out the size of angle b. [1]Opposite Angles▶ Show worked answerHide worked answer
- (a) B1: 58^° (opposite angles are equal)
- (b) B1: 122^° (180 - 58)
Answer: (a) 58^°; (b) 122^° - 4
Question 4. A straight line crosses the lines AB and CD.
[2 marks]
Two of the angles formed are between AB and CD and on the same side of the crossing line.
The two angles are 124^° and 56^°.
Is AB parallel to CD?
Explain your answer.Co-Interior Angles▶ Show worked answerHide worked answer
- B1: Yes
- B1: 124 + 56 = 180, and co-interior angles add up to 180° when the lines are parallel, so AB is parallel to CD
Answer: Yes, 124 + 56 = 180, so the co-interior angles add up to 180° and the lines are parallel - 5
Question 5. Dee writes: 5³ = 5 × 3 = 15
[2 marks]
Describe her mistake and work out the correct value of 5³.Square, Cube & Prime Numbers▶ Show worked answerHide worked answer
- M1: 5 × 5 × 5
- A1: 125, with the mistake described
Answer: She multiplied 5 by 3 instead of multiplying three 5s. 5³ = 125.
Mixed Topic Worksheet Grades 1/2/3: Day 031
- 1
Question 1. Tom says, "A cone and a pyramid are the same type of solid because they both come to a point at the top."
Write down one difference between a cone and a pyramid.Identifying 3D Shapes▶ Show worked answerHide worked answer
- B1: a cone has a circular base or a curved surface
- B1: a pyramid has only flat faces and a base with straight sides
Answer: A cone has a curved surface and a circular base; a pyramid has flat faces and a base with straight sides[2 marks] - 2
Question 2. A charity raises £8736. The money is shared equally between 7 hospitals. Use the bus stop method to work out how much each hospital gets, in pounds.
Bus Stop Method with Large Numbers▶ Show worked answerHide worked answer
- M1: 7 outside the bus stop, quotient digits 1, 2, 4, 8 with each remainder carried to the next digit
- A1: 1248
Answer: 1248[2 marks] - 3
Question 3. The diagram shows two straight lines that cross.
(a) Write down the size of angle a. [1]
(b) Work out the size of angle b. [1]Opposite Angles▶ Show worked answerHide worked answer
- (a) B1: 58^° (opposite angles are equal)
- (b) B1: 122^° (180 - 58)
Answer: (a) 58^°; (b) 122^°[2 marks] - 4
Question 4. A straight line crosses the lines AB and CD.
Two of the angles formed are between AB and CD and on the same side of the crossing line.
The two angles are 124^° and 56^°.
Is AB parallel to CD?
Explain your answer.Co-Interior Angles▶ Show worked answerHide worked answer
- B1: Yes
- B1: 124 + 56 = 180, and co-interior angles add up to 180° when the lines are parallel, so AB is parallel to CD
Answer: Yes, 124 + 56 = 180, so the co-interior angles add up to 180° and the lines are parallel[2 marks] - 5
Question 5. Dee writes: 5³ = 5 × 3 = 15
Describe her mistake and work out the correct value of 5³.Square, Cube & Prime Numbers▶ Show worked answerHide worked answer
- M1: 5 × 5 × 5
- A1: 125, with the mistake described
Answer: She multiplied 5 by 3 instead of multiplying three 5s. 5³ = 125.[2 marks]